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1116613431 = 35171371973
BaseRepresentation
bin100001010001110…
…0010101100110111
32212211002211200000
41002203202230313
54241323112211
6302444522343
736446025513
oct10243425467
92784084600
101116613431
1152333221a
12271b503b3
1314a44980b
14a8425143
1568068656
hex428e2b37

1116613431 has 48 divisors (see below), whose sum is σ = 1784843424. Its totient is φ = 695153664.

The previous prime is 1116613429. The next prime is 1116613447. The reversal of 1116613431 is 1343166111.

1116613431 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 613 + 43 + 1 = 666.

It is not a de Polignac number, because 1116613431 - 21 = 1116613429 is a prime.

It is a super-3 number, since 3×11166134313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1116613395 and 1116613404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116633431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564961 + ... + 566933.

It is an arithmetic number, because the mean of its divisors is an integer number (37184238).

Almost surely, 21116613431 is an apocalyptic number.

1116613431 is a deficient number, since it is larger than the sum of its proper divisors (668229993).

1116613431 is a wasteful number, since it uses less digits than its factorization.

1116613431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2130 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1116613431 is about 33415.7662039942. The cubic root of 1116613431 is about 1037.4510529190.

Adding to 1116613431 its reverse (1343166111), we get a palindrome (2459779542).

The spelling of 1116613431 in words is "one billion, one hundred sixteen million, six hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 137 153 243 411 459 1233 1377 1973 2329 3699 4131 5919 6987 11097 17757 20961 33291 33541 53271 62883 100623 159813 188649 270301 301869 479439 565947 810903 905607 2432709 2716821 4595117 7298127 8150463 13785351 21894381 41356053 65683143 124068159 372204477 1116613431